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50076450 = 23252257433
BaseRepresentation
bin1011111100000…
…1101100100010
310111020010222100
42333001230202
5100304421300
64545151230
71145433324
oct277015442
9114203870
1050076450
11262a31a6
121492b516
13a4b4148
146917614
1545e2700
hex2fc1b22

50076450 has 72 divisors (see below), whose sum is σ = 135374148. Its totient is φ = 13271040.

The previous prime is 50076449. The next prime is 50076493. The reversal of 50076450 is 5467005.

50076450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 23357889 + 26718561 = 4833^2 + 5169^2 .

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 115434 + ... + 115866.

Almost surely, 250076450 is an apocalyptic number.

50076450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 50076450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67687074).

50076450 is an abundant number, since it is smaller than the sum of its proper divisors (85297698).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

50076450 is a wasteful number, since it uses less digits than its factorization.

50076450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 50076450 is about 7076.4715784069. The cubic root of 50076450 is about 368.5908170542.

The spelling of 50076450 in words is "fifty million, seventy-six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 257 433 450 514 771 866 1285 1299 1542 2165 2313 2570 2598 3855 3897 4330 4626 6425 6495 7710 7794 10825 11565 12850 12990 19275 19485 21650 23130 32475 38550 38970 57825 64950 97425 111281 115650 194850 222562 333843 556405 667686 1001529 1112810 1669215 2003058 2782025 3338430 5007645 5564050 8346075 10015290 16692150 25038225 50076450